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Published May 1, 2004 | public
Journal Article Open

A random walk model of wave propagation


This paper shows that a reasonably accurate description of propagation loss in small urban cells can be obtained with a simple stochastic model based on the theory of random walks, that accounts for only two parameters: the amount of clutter and the amount of absorption in the environment. Despite the simplifications of the model, the derived analytical solution correctly describes the smooth transition of power attenuation from an inverse square law with the distance to the transmitter, to an exponential attenuation as this distance is increased - as it is observed in practice. Our analysis suggests using a simple exponential path loss formula as an alternative to the empirical formulas that are often used for prediction. Results are validated by comparison with experimental data collected in a small urban cell.

Additional Information

© Copyright 2004 IEEE. Reprinted with permission Manuscript received February 17, 2003; revised May 30, 2003. [Posted online: 2004-05-10] This work was supported in part by the Caltech Lee Center for Advanced Networking, by the National Science Foundation under CAREER Grant 0049092 (previously 9876172), and by the Charles Lee Powell Foundation. The authors would like to thank Dr. S. De Vita of Ericsson Telecomunicazioni SpA for providing access to experimental data, and the anonymous reviewers for their comments.


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